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Finding the Fourth Proportional to 255,720.63, 383,497.95 and 120,763.83

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Solution

The fourth proportional to 255,720.63, 383,497.95 and 120,763.83 is: 181,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,720.63 : 383,497.95 = 120,763.83 : x
  2. Step 2: Convert to fraction form
    255,720.63/383,497.95 = 120,763.83/x
  3. Step 3: Cross multiply
    255,720.63x = 383,497.95 × 120,763.83
  4. Step 4: Simplify right side
    255,720.63x = 46,312,681,239.15
  5. Step 5: Solve for x
    x = 46,312,681,239.15/255,720.63
  6. Step 6: Final answer
    x = 181,106.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.